SATHEE: Properties of Matter 4 Question 5

Properties of Matter 4 Question 5

7. A glass tube of uniform internal radius $(r)$ has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherial soap bubble of radius $r$ . End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve.

(2008, 3M)

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(a) air from end 1 flows towards end 2. No change in the volume of the soap bubbles

(b) air from end 1 flows towards end 2. Volume of the soap bubble at end 1 decreases

(d) air from end 2 flows towards end 1. Volume of the soap bubble at end 1 increases

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Answer:

Correct Answer: 7. (b)

Solution:

$Δ p_{1} = \frac{4 T}{r_{1}}$ and $Δ p_{2} = \frac{4 T}{r_{2}}$

$r_{1} < r_{2} \Rightarrow Δ p_{1} > Δ p_{2}$

$∴$ Air will flow from 1 to 2 and volume of bubble at end 1 will decrease.

Therefore, correct option is (b).

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Properties of Matter 4 Question 5

7. A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherial soap bubble of radius r. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve.

Answer:

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7. A glass tube of uniform internal radius $(r)$ has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherial soap bubble of radius $r$ . End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve.